A polynomial is an algebraic expression involving many terms and can be factorised using long division or synthetic division.
Part ofMathsAlgebraic and trigonometric skills
Watch this video to learn about synthetic division of polynomials.
This video can not be played
Synthetic division is another, easier, way of carrying out division of polynomials.
Look at how it would work for the example above before moving on to an explanation of the process.
\(({x^2} + 7x + 3) \div (x - 1)\)
\({x^2} + 7x + 3 = (x - 1)(x + 8) + 11\)
where \((x - 1)\) is the divisor, \((x + 8)\) is the quotient and \(11\) is the remainder.